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Title: Local reversibility and entanglement structure of many-body ground states
Authors: Kuwahara, T
Arad, I 
Amico, L 
Vedral, V 
Keywords: Ground state
Quantum interference phenomena
Entanglement entropy
Low temperature physics
Macroscopic quantum phenomena
Many-body systems
Quantum complexity class
Quantum many-body systems
Quantum phenomena
Specific properties
Quantum entanglement
Issue Date: 2017
Citation: Kuwahara, T, Arad, I, Amico, L, Vedral, V (2017). Local reversibility and entanglement structure of many-body ground states. Quantum Science and Technology 2 (1) : 15005. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
Abstract: The low-temperature physics of quantum many-body systems is largely governed by the structure of their ground states. Minimizing the energy of local interactions, ground states often reflect strong properties of locality such as the area law for entanglement entropy and the exponential decay of correlations between spatially separated observables. Here, we present a novel characterization of quantum states, which we call 'local reversibility'. It characterizes the type of operations that are needed to reverse the action of a general disturbance on the state. We prove that unique ground states of gapped local Hamiltonian are locally reversible. This way, we identify new universal features of many-body ground states, which cannot be derived from the aforementioned properties. We use local reversibility to distinguish between states enjoying microscopic and macroscopic quantum phenomena. To demonstrate the potential of our approach, we prove specific properties of ground states, which are relevant both to critical and non-critical theories. © 2017 IOP Publishing Ltd.
Source Title: Quantum Science and Technology
ISSN: 20589565
DOI: 10.1088/2058-9565/aa523d
Rights: Attribution 4.0 International
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